Nicole's and Gem's savings were in the ratio of 4 : 7. Both of them shared the cost of their younger brother's gift equally. Nicole's remaining savings was ¹₅ as much as Gem's savings. What percentage of her savings did Nicole spend? Correct the answer to 1 decimal place.

	Nicole	Gem	Difference
Before	4x4 = 16 u	7x4 = 28 u	3x4 = 12 u
Change	- 13 u	- 13 u
After	1x3 = 3 u	5x3 = 15 u	4x3 = 12 u

Since Nicole and Gem shared the cost of their younger brother's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Nicole and Gem at first and in the end remains the same.  Make the difference in the amounts between Nicole and Gem at first and in the end the same. LCM of 3 and 4 is 12.

Amount that Nicole spent on the gift
= 16 u - 3 u
= 13 u

Percentage of her savings that Nicole spent
= ¹³₁₆ x 100%
≈ 81.3%

Answer(s): 81.3%